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Weak specification properties and large deviations for non-additive potentials

Published online by Cambridge University Press:  09 October 2013

Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110 Salvador, Brazil email
Departament of Mathematics, Soochow University, Suzhou 215006, Jiangsu, P.R. China email


We obtain large deviation bounds for the measure of deviation sets associated with asymptotically additive and sub-additive potentials under some weak specification properties. In particular, a large deviation principle is obtained in the case of uniformly hyperbolic dynamical systems. Some applications to the study of the convergence of Lyapunov exponents are given.

Research Article
© Cambridge University Press, 2013 

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